Lesson 4: Equivalent Ratios (Part 2)

Lesson 4 Equivalent_Ratios_Part_2_Math_6_WP_Summary.notebook

Lesson 4: Equivalent Ratios (Part 2)

In this lesson, we learned that you can determine if two ratios are equivalent by identifying whether there is a constant, c.

August 23, 2014

In the example above, the ratios are not equivalent because the quantity in the first ratio is not multiplied by the same number in the second quantity. This can be fixed by changing the second ratio to 42:77 so that the constant is 7 (c = 7).

It can also be fixed by changing the second ratio to 48:88 so that the constant is 8 (c = 8).

Jan 88:18 AM

CONTINUED on next page...

Lesson 4 Equivalent_Ratios_Part_2_Math_6_WP_Summary.notebook

Lesson 4: Equivalent Ratios (Part 2)

August 23, 2014

We also learned how to justify whether ratios in a tape diagram were equivalent using this method. In a bag of mixed walnuts and cashews, the ratio of number of walnuts to number of cashews is 5:6. Determine the amount of walnuts that are in the bag if there are 54 cashews. Use a tape diagram to support your work. Justify your answer by showing that the new ratio you created of number of walnuts to number of cashews is equivalent to 5:6.

Jan 88:18 AM

Lesson 4 Equivalent_Ratios_Part_2_Math_6_WP_Summary.notebook

Learning Targets

By the end of this lesson, you will be able to answer the following questions:

(1) How can tape diagrams be used to determine if two ratios are equivalent? (2) How can you determine if two ratios are equivalent using a constant, c?

August 23, 2014

Jan 88:18 AM

Lesson 4 Equivalent_Ratios_Part_2_Math_6_WP_Summary.notebook

August 23, 2014

Learning Targets

Why do you need to know this?

Ratios can be used to solve all

types of real world problems.

We use ratios to decide what

items have the best price when

we shop, which cars get the

best gas mileage, and many

other real world problems.

Jan 88:18 AM

Lesson 4 Equivalent_Ratios_Part_2_Math_6_WP_Summary.notebook

Example 1

August 23, 2014

The morning announcements said that two out of every seven

6th graders in the school have an overdue library book. Jasmine said, "That would mean 24 of us have overdue books!" Grace argued, "No way. That is way too high." How can you determine who is right?

You can determine who is right if you know the total number of students in sixth grade. Then you can make a tape diagram to figure out if the ratios are equivalent.

If there are 84 total sixth graders, then Jasmine if correct. If there aren't 84 total sixth graders, then she is not correct. Grace is correct if there are fewer than 84 sixth graders.

Aug 116:09 PM

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